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Finding the Fourth Proportional to 6,497.03, 9,728.93 and 3,572.12

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Solution

The fourth proportional to 6,497.03, 9,728.93 and 3,572.12 is: 5,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.03 : 9,728.93 = 3,572.12 : x
  2. Step 2: Convert to fraction form
    6,497.03/9,728.93 = 3,572.12/x
  3. Step 3: Cross multiply
    6,497.03x = 9,728.93 × 3,572.12
  4. Step 4: Simplify right side
    6,497.03x = 34,752,865.72
  5. Step 5: Solve for x
    x = 34,752,865.72/6,497.03
  6. Step 6: Final answer
    x = 5,349.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.